Synchronization of heterogeneous and uncertain networks via adaptive intermittent pinning control

In the context of network synchronization, achieving a coherent solution poses a significant challenge, particularly in scenarios where the systems exhibit heterogeneous and uncertain dynamics. The ability to successfully steer the network towards synchronization under heterogeneous and uncertain dynamics is an important research subject. In this paper, synchronization of heterogeneous and uncertain networks is investigated by designing an adaptive intermittent pinning controller. Based on Lyapunov stability theory, sufficient conditions to guarantee network synchronization are obtained. Moreover, an adaptive algorithm for uncertain gain is designed and its validity is rigorously established. Finally, numerical simulations are provided to demonstrate the correctness of the obtained results.